Work

Piecewise smoothness for linear elliptic systems with piecewise smooth coefficients

Year: 2022

Type: preprint

Abstract: Li and Vogelius, and Li and Nirenberg obtained piecewise $C^{1,γ}$-regularity for linear elliptic problems with piecewise $C^γ$-coefficients which come from composite materials. In this paper, we obtain piecewise $C^{m+1,γ}$-regularity for linear elliptic systems with piecewise $C^{m,γ}$-coefficients which also come from composite materials. This answers the open problem suggested by Li and Vogelius, and Li and Nirenberg.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2206.07884

Author: Kim, Youchan

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Research Foundation, National Research Foundation of Korea

Award: G8432218419

OpenAlex ID: W4283078455

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